Determine whether the equation represents a direct variation. If it does, find the constant of variation. 2y=5x+1 
       
      
                
     
    
    
    
    2  answers:
            
              
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form 
In a direct variation the equation of the line passes through the origin
In this problem we have
therefore
<u>The answer is</u>
the equation does not represent a direct variation 
 
                                
             
                    
              
It does represent a direct variation.
                                
             
         	
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You would write it like this:
        
             
        
        
        
Answer: 
7.5
Step-by-step explanation: 
 
        
                    
             
        
        
        
Answer: 
4.66666667
Step-by-step explanation: 
 
        
             
        
        
        
Answer: 
y = x - 2
Step-by-step explanation: 
y = mx + b
5 = 1 (7) + b
5 = 7 + b
b = -2 
So...
y = x - 2
 
        
             
        
        
        
Answer: 
The answer is: y = - |x+1|+1